Momentum of a coil during EM induction

I have heard many things about electromagnetic induction, but I have got still more questions than answers. For example if a magnet is closing fast to a coil, a current will be induced in a coil. This also means, that part of the momentum will be given to those charged particles. If we count with coil with large mass and magnet with negligible mass, the magnet will eventually "stop" in the coil. Can anybody tell me what is the ratio between momentum given to coil (by magnet) and momentum given to those charged particles?